Total Surface Area of Cylinder given Lateral Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2
TSA = LSA+2*pi*r^2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area of Cylinder - (Measured in Square Meter) - Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.
Lateral Surface Area of Cylinder - (Measured in Square Meter) - Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder.
Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cylinder: 380 Square Meter --> 380 Square Meter No Conversion Required
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = LSA+2*pi*r^2 --> 380+2*pi*5^2
Evaluating ... ...
TSA = 537.07963267949
STEP 3: Convert Result to Output's Unit
537.07963267949 Square Meter --> No Conversion Required
FINAL ANSWER
537.07963267949 537.0796 Square Meter <-- Total Surface Area of Cylinder
(Calculation completed in 00.003 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 700+ more calculators!
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1000+ more calculators!

11 Total Surface Area of Cylinder Calculators

Total Surface Area of Cylinder given Surface to Volume Ratio and Height
Go Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))
Total Surface Area of Cylinder given Volume and Height
Go Total Surface Area of Cylinder = 2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder)))
Total Surface Area of Cylinder given Diagonal and Height
Go Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)
Total Surface Area of Cylinder given Lateral Surface Area and Height
Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))
Total Surface Area of Cylinder given Surface to Volume Ratio and Radius
Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Radius of Cylinder)
Total Surface Area of Cylinder given Diagonal and Radius
Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder)
Total Surface Area of Cylinder given Volume and Radius
Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder)
Total Surface Area of Cylinder given Base Area
Go Total Surface Area of Cylinder = 2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder)
Total Surface Area of Cylinder
Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)
Total Surface Area of Cylinder given Lateral Surface Area and Radius
Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2
Total Surface Area of Cylinder given Lateral Surface Area and Base Area
Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)

Total Surface Area of Cylinder given Lateral Surface Area and Radius Formula

Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2
TSA = LSA+2*pi*r^2

What is a Cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the Cylinder.

How to Calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius?

Total Surface Area of Cylinder given Lateral Surface Area and Radius calculator uses Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2 to calculate the Total Surface Area of Cylinder, The Total Surface Area of Cylinder given Lateral Surface Area and Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and radius of the Cylinder. Total Surface Area of Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius using this online calculator? To use this online calculator for Total Surface Area of Cylinder given Lateral Surface Area and Radius, enter Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) and hit the calculate button. Here is how the Total Surface Area of Cylinder given Lateral Surface Area and Radius calculation can be explained with given input values -> 537.0796 = 380+2*pi*5^2.

FAQ

What is Total Surface Area of Cylinder given Lateral Surface Area and Radius?
The Total Surface Area of Cylinder given Lateral Surface Area and Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and radius of the Cylinder and is represented as TSA = LSA+2*pi*r^2 or Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2. Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder & Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
How to calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius?
The Total Surface Area of Cylinder given Lateral Surface Area and Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and radius of the Cylinder is calculated using Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2. To calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius, you need Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Lateral Surface Area of Cylinder & Radius of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Surface Area of Cylinder?
In this formula, Total Surface Area of Cylinder uses Lateral Surface Area of Cylinder & Radius of Cylinder. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)
  • Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)
  • Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder)))
  • Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))
  • Total Surface Area of Cylinder = 2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))
  • Total Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*(Height of Cylinder+(Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!